{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "PCA（主成分分析）是一种降维技术，核心思想寻找数据中，方差最大的方向\n",
    "假设我们有2种特征数据，放在坐标表示（X1,Y1）,（X2,Y2）（X3,Y3），使它从2维降到1维，变成类似（X1',0）（X2',0）（X3',0）   这样y方向的数据就不用管了\n",
    "\n",
    "实现方法\n",
    "1.首先让数据 “中心化”，让数据围绕原点分布，这样的好处是简化方差计算。\n",
    "2.算出协方差矩阵 协方差矩阵描述了数据各维度的方差和协方差 ，通过矩阵计算推导，发现协方差矩阵的特征矩阵p 表示的含义就是方差的方向 。且特征值最大对应的特征向量，就是主方向。特征值最小对应的特征向量，就是次方向"
   ],
   "id": "b3036eb0e8028ec1"
  },
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-10-12T15:02:55.501593Z",
     "start_time": "2025-10-12T15:02:54.452802Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "np.random.seed(42)\n",
    "mean = [0, 0]\n",
    "cov = [[3, 2], [2, 3]]\n",
    "X = np.random.multivariate_normal(mean, cov, 100)\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "X_pca = pca.fit_transform(X)\n",
    "v1, v2 = pca.components_\n",
    "projected_v1 = np.dot(X, v1.reshape(-1, 1)) * v1\n",
    "\n",
    "plt.figure(figsize=(10, 8))\n",
    "plt.scatter(X[:, 0], X[:, 1], alpha=0.5, label='原始数据')\n",
    "\n",
    "# 修正主成分向量的标签语法（用 Matplotlib 内置 mathtext）\n",
    "scale = np.sqrt(pca.explained_variance_)\n",
    "plt.quiver(\n",
    "    0, 0, v1[0] * scale[0], v1[1] * scale[0],\n",
    "    color='blue', angles='xy', scale_units='xy', scale=1,\n",
    "    label='$\\\\vec{v}_1$'  # 改用 $$ 包裹，双反斜杠转义\n",
    ")\n",
    "plt.quiver(\n",
    "    0, 0, v2[0] * scale[1], v2[1] * scale[1],\n",
    "    color='orange', angles='xy', scale_units='xy', scale=1,\n",
    "    label='$\\\\vec{v}_2$'\n",
    ")\n",
    "\n",
    "# 修正投影数据的标签（混合文本与数学符号）\n",
    "plt.scatter(projected_v1[:, 0], projected_v1[:, 1], color='red', alpha=0.5,\n",
    "            label='投影数据 ($\\\\vec{v}_1$)')  # 用 () 包裹，内部数学符号用 $$\n",
    "\n",
    "plt.axhline(0, color='black', linewidth=0.5)\n",
    "plt.axvline(0, color='black', linewidth=0.5)\n",
    "plt.xlabel('轴1')\n",
    "plt.ylabel('轴2')\n",
    "plt.legend()\n",
    "plt.axis('equal')\n",
    "plt.title('PCA主成分与投影')\n",
    "plt.grid(alpha=0.3)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 36724 (\\N{CJK UNIFIED IDEOGRAPH-8F74}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 20027 (\\N{CJK UNIFIED IDEOGRAPH-4E3B}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 25104 (\\N{CJK UNIFIED IDEOGRAPH-6210}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 20998 (\\N{CJK UNIFIED IDEOGRAPH-5206}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 19982 (\\N{CJK UNIFIED IDEOGRAPH-4E0E}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 25237 (\\N{CJK UNIFIED IDEOGRAPH-6295}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 24433 (\\N{CJK UNIFIED IDEOGRAPH-5F71}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 21407 (\\N{CJK UNIFIED IDEOGRAPH-539F}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 22987 (\\N{CJK UNIFIED IDEOGRAPH-59CB}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 25968 (\\N{CJK UNIFIED IDEOGRAPH-6570}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "E:\\anaconda\\Lib\\site-packages\\IPython\\core\\pylabtools.py:170: UserWarning: Glyph 25454 (\\N{CJK UNIFIED IDEOGRAPH-636E}) missing from font(s) DejaVu Sans.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "Font 'default' does not have a glyph for '\\u6295' [U+6295], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u5f71' [U+5f71], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u6570' [U+6570], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u636e' [U+636e], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u6295' [U+6295], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u5f71' [U+5f71], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u6570' [U+6570], substituting with a dummy symbol.\n",
      "Font 'default' does not have a glyph for '\\u636e' [U+636e], substituting with a dummy symbol.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 1
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
